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Finding the Fourth Proportional to 6,970.27, 9,605.69 and 6,842.17

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Solution

The fourth proportional to 6,970.27, 9,605.69 and 6,842.17 is: 9,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.27 : 9,605.69 = 6,842.17 : x
  2. Step 2: Convert to fraction form
    6,970.27/9,605.69 = 6,842.17/x
  3. Step 3: Cross multiply
    6,970.27x = 9,605.69 × 6,842.17
  4. Step 4: Simplify right side
    6,970.27x = 65,723,767.40
  5. Step 5: Solve for x
    x = 65,723,767.40/6,970.27
  6. Step 6: Final answer
    x = 9,429.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.